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121478400 = 2833521937

121478400 has 432 divisors, whose sum is σ = 481566400. Its totient is φ = 29859840.

The previous prime is 121478377. The next prime is 121478407. The reversal of 121478400 is 4874121.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121478407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3283182 + ... + 3283218.

Almost surely, 2121478400 is an apocalyptic number.

121478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240783200).

121478400 is an abundant number, since it is smaller than the sum of its proper divisors (360088000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121478400 is a wasteful number, since it uses less digits than its factorization.

121478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 121478400 is about 11021.7240030768. The cubic root of 121478400 is about 495.2597351303.

The spelling of 121478400 in words is "one hundred twenty-one million, four hundred seventy-eight thousand, four hundred".